ON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS

Let (G;N) be a pair of groups. In this article, first we con-struct a relative central extension for the pair (G;N) such that specialtypes of covering pair of (G;N) are homomorphic image of it. Second, weshow that every perfect pair admits at least one covering pair. Finally,among extending some properties of perfect groups to perfect pairs, wecharacterize covering pairs of a perfect pair (G;N) under some extraassumptions.

Keywords:

Pair of groups , Covering pair , Relative central extension , Isoclinism of pairs of groups

Authors

A. Pourmirzaei

Department of Mathematics, Hakim Sabzevari University, P. O. Box ۹۶۱۷۹-۷۶۴۸۷, Sabzevar, Iran

M. Hassanzadeh

Department of Mathematics, Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box ۱۱۵۹-۹۱۷۷۵, Mashhad, Iran.

B. Mashayekhy

Department of Mathematics, Center of Excellence in Analysis on Algebraic Struc- tures, Ferdowsi University of Mashhad, P.O.Box ۱۱۵۹-۹۱۷۷۵, Mashhad, Iran.

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/893207

شناسه ملی سند علمی:

JR_JAS-4-1_001

تاریخ نمایه سازی: 18 تیر 1398

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Pourmirzaei, A. and Hassanzadeh, M. and Mashayekhy, B.,1395,ON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS,https://civilica.com/doc/893207

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Hakim Sabzevari University

Type of center: دانشگاه دولتی

Paper count: 5,873

In the scientometrics section of CIVILICA, you can see the scientific ranking of the Iranian academic and research centers based on the statistics of indexed articles.